%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN056-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:18:49 PM UTC 2026
% Result : Satisfiable 0.08s 0.37s
% Output : Saturation 0.08s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( big_q(a)
| ~ big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( big_p(b)
| ~ big_q(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( big_s(Y)
| ~ big_r(X)
| ~ big_q(Y)
| ~ big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
( big_r(X)
| ~ big_s(Y)
| ~ big_q(Y)
| ~ big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( big_s(X)
| big_r(X)
| ~ big_q(X)
| ~ big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X] :
( big_r(X)
| big_p(c)
| ~ big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X] :
( big_r(X)
| ~ big_r(c)
| ~ big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X] :
( big_s(X)
| big_q(d)
| ~ big_q(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X] :
( big_s(X)
| ~ big_s(d)
| ~ big_q(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( big_q(d)
| big_p(c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( big_q(d)
| ~ big_r(c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( big_p(c)
| ~ big_s(d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( ~ big_s(d)
| ~ big_r(c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,plain,
( big_q(a)
| ! [X] : ~ big_p(X) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f15,plain,
! [X0] :
( big_q(a)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f16,plain,
( big_p(b)
| ! [X] : ~ big_q(X) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f17,plain,
! [X0] :
( big_p(b)
| ~ big_q(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f18,plain,
! [Y] :
( big_s(Y)
| ! [X] :
( ~ big_r(X)
| ~ big_q(Y)
| ~ big_p(X) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f19,plain,
! [X0,X1] :
( big_s(X1)
| ~ big_r(X0)
| ~ big_q(X1)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f20,plain,
! [X] :
( big_r(X)
| ! [Y] :
( ~ big_s(Y)
| ~ big_q(Y)
| ~ big_p(X) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f21,plain,
! [X0,X1] :
( big_r(X0)
| ~ big_s(X1)
| ~ big_q(X1)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f22,plain,
! [X0] :
( big_s(X0)
| big_r(X0)
| ~ big_q(X0)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f23,plain,
! [X0] :
( big_r(X0)
| big_p(c)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f24,plain,
! [X0] :
( big_r(X0)
| ~ big_r(c)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f25,plain,
! [X0] :
( big_s(X0)
| big_q(d)
| ~ big_q(X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f26,plain,
! [X0] :
( big_s(X0)
| ~ big_s(d)
| ~ big_q(X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f27,plain,
( big_q(d)
| big_p(c) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f28,plain,
( big_q(d)
| ~ big_r(c) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f29,plain,
( big_p(c)
| ~ big_s(d) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f30,plain,
( ~ big_s(d)
| ~ big_r(c) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f31,definition,
! [X0] :
( sQ0_spl
<=> ~ big_p(X0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f32,plain,
! [X0] :
( ~ sQ0_spl
| ~ big_p(X0) ),
inference(component_clause,[status(thm)],[f31]) ).
fof(f34,definition,
( sQ1_spl
<=> big_q(a) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f35,plain,
( ~ sQ1_spl
| big_q(a) ),
inference(component_clause,[status(thm)],[f34]) ).
fof(f37,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f15,f31,f34]) ).
fof(f38,definition,
! [X0] :
( sQ2_spl
<=> ~ big_q(X0) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f39,plain,
! [X0] :
( ~ sQ2_spl
| ~ big_q(X0) ),
inference(component_clause,[status(thm)],[f38]) ).
fof(f41,definition,
( sQ3_spl
<=> big_p(b) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f42,plain,
( ~ sQ3_spl
| big_p(b) ),
inference(component_clause,[status(thm)],[f41]) ).
fof(f44,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f17,f38,f41]) ).
fof(f45,definition,
! [X0] :
( sQ4_spl
<=> ( ~ big_r(X0)
| ~ big_p(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f46,plain,
! [X0] :
( ~ sQ4_spl
| ~ big_r(X0)
| ~ big_p(X0) ),
inference(component_clause,[status(thm)],[f45]) ).
fof(f48,definition,
! [X1] :
( sQ5_spl
<=> ( big_s(X1)
| ~ big_q(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f49,plain,
! [X0] :
( ~ sQ5_spl
| big_s(X0)
| ~ big_q(X0) ),
inference(component_clause,[status(thm)],[f48]) ).
fof(f51,plain,
( sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f19,f45,f48]) ).
fof(f52,definition,
! [X0] :
( sQ6_spl
<=> ( big_r(X0)
| ~ big_p(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f53,plain,
! [X0] :
( ~ sQ6_spl
| big_r(X0)
| ~ big_p(X0) ),
inference(component_clause,[status(thm)],[f52]) ).
fof(f55,definition,
! [X1] :
( sQ7_spl
<=> ( ~ big_s(X1)
| ~ big_q(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f56,plain,
! [X0] :
( ~ sQ7_spl
| ~ big_s(X0)
| ~ big_q(X0) ),
inference(component_clause,[status(thm)],[f55]) ).
fof(f58,plain,
( sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f21,f52,f55]) ).
fof(f59,definition,
( sQ8_spl
<=> big_p(c) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f60,plain,
( ~ sQ8_spl
| big_p(c) ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f61,plain,
( sQ8_spl
| ~ big_p(c) ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f62,plain,
( sQ8_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f23,f52,f59]) ).
fof(f63,definition,
( sQ9_spl
<=> big_r(c) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f64,plain,
( ~ sQ9_spl
| big_r(c) ),
inference(component_clause,[status(thm)],[f63]) ).
fof(f65,plain,
( sQ9_spl
| ~ big_r(c) ),
inference(component_clause,[status(thm)],[f63]) ).
fof(f66,plain,
( ~ sQ9_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f24,f52,f63]) ).
fof(f67,definition,
( sQ10_spl
<=> big_q(d) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f68,plain,
( ~ sQ10_spl
| big_q(d) ),
inference(component_clause,[status(thm)],[f67]) ).
fof(f69,plain,
( sQ10_spl
| ~ big_q(d) ),
inference(component_clause,[status(thm)],[f67]) ).
fof(f70,plain,
( sQ10_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f25,f48,f67]) ).
fof(f71,definition,
( sQ11_spl
<=> big_s(d) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f72,plain,
( ~ sQ11_spl
| big_s(d) ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f73,plain,
( sQ11_spl
| ~ big_s(d) ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f74,plain,
( ~ sQ11_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f26,f48,f71]) ).
fof(f75,plain,
( sQ10_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f27,f59,f67]) ).
fof(f76,plain,
( sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f28,f63,f67]) ).
fof(f77,plain,
( sQ8_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f29,f71,f59]) ).
fof(f78,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f30,f63,f71]) ).
fof(f79,plain,
( ~ sQ8_spl
| ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f60,f32]) ).
fof(f80,plain,
( ~ sQ8_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f79]) ).
fof(f81,plain,
( ~ sQ10_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f68,f39]) ).
fof(f82,plain,
( ~ sQ10_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f81]) ).
fof(f83,plain,
( ~ sQ8_spl
| ~ sQ6_spl
| big_r(c) ),
inference(resolution,[status(thm)],[f53,f60]) ).
fof(f84,plain,
( ~ sQ8_spl
| ~ sQ6_spl
| sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f83,f65]) ).
fof(f85,plain,
( ~ sQ8_spl
| ~ sQ6_spl
| sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f84]) ).
fof(f86,plain,
( ~ sQ10_spl
| ~ sQ5_spl
| big_s(d) ),
inference(resolution,[status(thm)],[f49,f68]) ).
fof(f87,plain,
( ~ sQ10_spl
| ~ sQ5_spl
| sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f86,f73]) ).
fof(f88,plain,
( ~ sQ10_spl
| ~ sQ5_spl
| sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f87]) ).
fof(f89,plain,
( ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ5_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f35,f90]) ).
fof(f90,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ5_spl
| ~ big_q(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f56,f49]) ).
fof(f91,plain,
( ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f89]) ).
fof(f92,plain,
( ~ sQ3_spl
| ~ sQ6_spl
| ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f42,f93]) ).
fof(f93,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ4_spl
| ~ big_p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f53,f46]) ).
fof(f94,plain,
( ~ sQ3_spl
| ~ sQ6_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f92]) ).
fof(f95,plain,
! [X0] :
( ~ sQ4_spl
| big_s(X0)
| ~ big_q(X0)
| ~ big_p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f22,f46]) ).
fof(f96,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ7_spl
| ~ big_q(X0)
| ~ big_p(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f95,f56]) ).
fof(f97,plain,
( ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ big_q(c) ),
inference(resolution,[status(thm)],[f96,f60]) ).
fof(f98,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ big_q(b) ),
inference(resolution,[status(thm)],[f96,f42]) ).
fof(model,axiom,
( ~ sQ0_spl
| sQ1_spl
| ~ sQ2_spl
| sQ3_spl
| sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sQ7_spl
| sQ8_spl
| ~ sQ9_spl
| sQ10_spl
| ~ sQ11_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN056-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 10:39:23 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.37 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.08/0.37 % SZS output start Saturation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.029548 seconds
% 0.13/0.40 % CPU time: 0.036288 seconds
% 0.13/0.40 % Total memory used: 1.057 MB
% 0.13/0.40 % Net memory used: 1.056 MB
%------------------------------------------------------------------------------